Homotopy locally presentable enriched categories

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Authors

LACK Stephen Geoffrey ROSICKÝ Jiří

Year of publication 2016
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

Citation
Web https://arxiv.org/pdf/1311.3712.pdf
Field General mathematics
Keywords monoidal model category; enriched model category; weighted homotopy colimit
Description We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where all objects of V are cofibrant.
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